Details

sample133.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 24.292737%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

5.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	20	3
2	22	3
3	22	3

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 5.9b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.5b	(* x (+ 1.0 (* y y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (+ 1.0 (* y y)))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(* x (+ 1.0 (* y y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	144	115
1	712	101
2	3303	100
3	5003	100

prune51.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	7	26

Merged error: 5.6b

Counts

26 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (sqrt (+ 1.0 (* y y))))
0.1b	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.4b	(sqrt (+ 1.0 (* y y)))
5.4b	(sqrt (+ 1.0 (* y y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

8.0ms	(* x (sqrt (+ 1.0 (* y y))))
10.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
2.0ms	(sqrt (+ 1.0 (* y y)))
2.0ms	(sqrt (+ 1.0 (* y y)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* x (sqrt (+ 1.0 (* y y))))
10.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms	(sqrt (+ 1.0 (* y y)))
4.0ms	(sqrt (+ 1.0 (* y y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	306	681
1	1316	604
2	5002	594

prune149.0ms

Filtered

67 candidates to 95 candidates (-41.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	94	8	102

Merged error: 5.6b

Counts

102 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* y y)))
10.0b	(* x (* y y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* x (* y y)))
5.0ms	(* x (* y y))

series17.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* x (* y y)))
7.0ms	(* x (* y y))

simplify76.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	167	162
1	633	137
2	2466	134
3	5001	134

prune51.0ms

Filtered

22 candidates to 37 candidates (-68.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	1	5	6
Picked	0	1	1
Done	1	0	1
Total	38	7	45

Merged error: 0.0b

Counts

45 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x y) y))
0.1b	(* (* x y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* (* x y) y))
5.0ms	(* (* x y) y)

series17.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* (* x y) y))
7.0ms	(* (* x y) y)

simplify128.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	174	161
1	815	137
2	4140	129
3	5001	128

prune34.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

regimes243.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample414.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 24.292737%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

181.0ms	8000×	body	80	valid
2.0ms	95×	body	80	invalid

Details

sample133.0ms

simplify6.0ms

prune2.0ms

localize4.0ms

rewrite5.0ms

series10.0ms

simplify79.0ms

prune51.0ms

localize7.0ms

rewrite25.0ms

series29.0ms

simplify54.0ms

prune149.0ms

localize5.0ms

rewrite9.0ms

series17.0ms

simplify76.0ms

prune51.0ms

localize5.0ms

rewrite9.0ms

series17.0ms

simplify128.0ms

prune34.0ms

regimes243.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample414.0ms

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